Modelling and control of multi-energy systems : An irreversible port-Hamiltonian approach.

Abstract : In recent work a class of quasi port Hamiltonian system expressing the first and second principle of thermodynamics as a structural property has been defined : Irreversible port-Hamiltonian system. These systems are very much like port-Hamiltonian systems but differ in that their structure matrices are modulated by a non-linear function that precisely expresses the irreversibility of the system. In a first instance irreversible port-Hamiltonian systems are extended to encompass coupled mechanical and thermodynamical systems, leading to the definition of reversible-irreversible port Hamiltonian systems. In a second instance, the formalism is used to suggest a class of passivity based controllers for thermodynamic systems based on interconnection and Casimir functions. However, the extension of the Casimir method to irreversible port-Hamiltonian systems is not so straightforward due to the "interconnection obstacle". The heat exchanger, a gas-piston system and the non-isothermal CSTR are used to illustrate the formalism.
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European Journal of Control, Lavoisier, 2013, 19, pp.513-520
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Héctor Ramirez Estay, Bernhard Maschke, Daniel Sbarbaro. Modelling and control of multi-energy systems : An irreversible port-Hamiltonian approach.. European Journal of Control, Lavoisier, 2013, 19, pp.513-520. 〈hal-00909580〉

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